College
career

Norman's tenure came at a low point in Stanford football
history: the 1959 team went 3-7 and the 1960 squad was 0-10.[1] In
spite of the team's overall record, however, Norman put up
incredible passing numbers in 1959, leading the nation with 1,963
yards and 2,018 yards of total offense, more than 300 yards ahead
of the closest contender, and winning the first-ever Sammy Baugh
Trophy, awarded to the nation's top passer.[1] In
a losing effort in the 1959 Big Game
against Cal, Norman threw for 401
yards, then an NCAA record, and still a Big Game record.[2]
Norman's 1960 season was less impressive, but he still threw for
more than 1,000 yards.[1]

Norman starred in the 1961 Senior Bowl, throwing for 311 yards and
leading a late touchdown drive to put the North team on top before
the South's Norm Snead
led his own last-minute drive to win the game.[3]
Norman was nonetheless named the game's MVP and his 311 passing
yards remains the fourth-highest in Senior Bowl history.

NFL
career

Norman was drafted by the Chicago Bears in the fourth round of the
1961 NFL Draft
and by the Oakland Raiders in the fifth round of
the 1961 AFL Draft.
Norman opted to play with the NFL Bears, but saw action in just
three games. He remained with the Bears through the 1962
season,[4]
and then was traded to the San Francisco 49ers for the 1963
season.[5]
The 49ers waived him before the season started, ending his NFL
career.[6]